Pith Number

pith:N2NWPJUX

pith:2019:N2NWPJUX5VGZYQR7OUW3CRV6QG

not attested not anchored not stored refs pending

Numerical approximation of the Schr\"odinger equation with concentrated potential

Lehel Banjai, Mar\'ia L\'opez-Fern\'andez

arxiv:1908.01292 v2 · 2019-08-04 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N2NWPJUX5VGZYQR7OUW3CRV6QG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T00:22:41.095794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e9b67a697ed4d9c423f752db146be818ca05264a754b7ee1d0441894d308bbe

Aliases

arxiv: 1908.01292 · arxiv_version: 1908.01292v2 · doi: 10.48550/arxiv.1908.01292 · pith_short_12: N2NWPJUX5VGZ · pith_short_16: N2NWPJUX5VGZYQR7 · pith_short_8: N2NWPJUX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/N2NWPJUX5VGZYQR7OUW3CRV6QG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6e9b67a697ed4d9c423f752db146be818ca05264a754b7ee1d0441894d308bbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e941c66150860296034d98e0ca9610659f1e6561a17788d29c7afc6ab87ab4f",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-04T08:15:31Z",
    "title_canon_sha256": "c0cebd197c4141818f33031cf850adba8e494bd40546a76f295b3b26c90d38a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01292",
    "kind": "arxiv",
    "version": 2
  }
}